X^2-27=-6X

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Solution for X^2-27=-6X equation:


Simplifying
X2 + -27 = -6X

Reorder the terms:
-27 + X2 = -6X

Solving
-27 + X2 = -6X

Solving for variable 'X'.

Reorder the terms:
-27 + 6X + X2 = -6X + 6X

Combine like terms: -6X + 6X = 0
-27 + 6X + X2 = 0

Factor a trinomial.
(-9 + -1X)(3 + -1X) = 0

Subproblem 1

Set the factor '(-9 + -1X)' equal to zero and attempt to solve: Simplifying -9 + -1X = 0 Solving -9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = 0 + 9 -1X = 0 + 9 Combine like terms: 0 + 9 = 9 -1X = 9 Divide each side by '-1'. X = -9 Simplifying X = -9

Subproblem 2

Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3

Solution

X = {-9, 3}

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